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Additional Resources for Teachers

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Patty paper can be ordered online from Key Curriculum Press.
http://www.keycurriculum.com/node/385.html

Activity 1B: Programming Animations I

Programming Calculators and Transformations

Fendel, D., Resek, D., Alper, L., & Fraser, S. (2000). Interactive Mathematics Program, Year 4. Key Curriculum Press.
The unit titled “As the Cube Turns” provides extensive information on programming calculators for animation. The book is supplemented with a Teacher’s Guide and Calculator Guide for the TI-82 and TI-83. The Calculator Guide offers several animated programs and includes instructions for writing programming code.

Geometric Transformations, a five-day unit plan for grade 8, provides additional examples of translations and reflections.
http://math.buffalostate.edu/~it/projects/Fiden.pdf

Mathematics

Driscoll, M., Egan, M., Mark, J., Kelemanik, G., & Nikula, J. (2008). Fostering Geometric Thinking. Heinemann.

Montana Council of Teachers of Mathematics. (2006). SIMMS Integrated Mathematics 2. Kendall/Hunt Publishing.

Serra, M. (2008). Discovering Geometry: An Investigative Approach, Fourth Edition. Key Curriculum Press.

Short lessons on transformation geometry that include the use of matrices.
www.cs.brown.edu/stc/summer/94GeoTrans/94GeoTrans_1.html

Various Java applets on geometric transformations.
http://mathforum.org/mathtools/cell/g,10.13.1,ALL,ALL/

Illuminations, a Web site of math tools developed by the National Council of Teachers of Mathematics, includes various activities on geometric transformations.
http://illuminations.nctm.org

For specific transformation applets at this site, see the following activities:
• Reflections and bilateral symmetry, which includes Java applet: http://illuminations.nctm.org/LessonDetail.aspx?ID=U139
• Rotations and their properties: http://illuminations.nctm.org/LessonDetail.aspx?id=U138
• Translations and their properties, including interactive diagrams: http://illuminations.nctm.org/LessonDetail.aspx?id=L474
• Compositions of transformation, in particular, work with glide reflections: http://illuminations.nctm.org/LessonDetail.aspx?id=L475

NCTM interactive figures on transformations.
http://standards.nctm.org/document/eexamples/chap6/6.4/index.htm

Geometer’s Sketchpad activities with transformations.
http://mathbits.com/MathBits/GSP/Transformations.htm

Flipbooks

Source for obtaining flipbook kits.
www.fliptomania.com/

Timeline of Animation History
The Film Education online resource has a timeline depicting the historical development of animation.
www.filmeducation.org/staffroom/film_in_the_classroom/animation/history.php

Basic Techniques Used in Animation—Tasks for Student Exploration
The Film Education online resource gives descriptions of four different animation techniques.
www.filmeducation.org/staffroom/film_in_the_classroom/animation/techniques.php

A short explanation of computer animation.
www.siggraph.org/education/materials/HyperGraph/animation/anim_intro.htm

“How We Make a Movie: The Pixar Animation Process” is a slideshow from Pixar Animation Studios that lays out each stage of the process.
www.pixar.com/howwedoit/index.html#

“Putting It Together—How Animation Gets Made” by Vicky Arkoff describes every stage in animation production.
www.skillset.org/animation/careers/article_3768_1.asp